Resonance capture in a system of two oscillators near equilibrium

DOI10.1134/S0040577918030029zbMath1444.34060OpenAlexW2800800857MaRDI QIDQ1792391

Leonid A. Kalyakin

Publication date: 11 October 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918030029

zbMATH Keywords

small parameterasymptotic approximationnonlinear oscillationresonance capture

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

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• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• Asymptotic solution to the problem of autoresonance: Outer expansion

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